Long story short, I'm working on a senior design project this semester, (involves converting a gassified biomass to a liquid ethanol using a palladium catalyst embedded in a silicon microporous matrix). I'm currently struggling what should be a fairly basic equation, but it's been too long since I've looked at such equations. Given known dimensions of the silicon wafer, (including the fact that we're removing 75% of the volume of the silicon due to the pores). The pores are small enough (3.5nm) that I assume we can generally assume the pressure relief offered by the pores is negligible. Anyway, the question is, what equation gives us the maximum pressure the top surface of the volume can support without collapsing? (We will need to develop a pressure above the matrix to generate a reasonable flow rate through the pores). Thanks in advance!